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Finding the Fourth Proportional to 31,099.60, 46,649.58 and 12,371.32

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Solution

The fourth proportional to 31,099.60, 46,649.58 and 12,371.32 is: 18,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.60 : 46,649.58 = 12,371.32 : x
  2. Step 2: Convert to fraction form
    31,099.60/46,649.58 = 12,371.32/x
  3. Step 3: Cross multiply
    31,099.60x = 46,649.58 × 12,371.32
  4. Step 4: Simplify right side
    31,099.60x = 577,116,882.05
  5. Step 5: Solve for x
    x = 577,116,882.05/31,099.60
  6. Step 6: Final answer
    x = 18,557.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.